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Finding the Fourth Proportional to 274.69, 412.03 and 198.14

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Solution

The fourth proportional to 274.69, 412.03 and 198.14 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.69 : 412.03 = 198.14 : x
  2. Step 2: Convert to fraction form
    274.69/412.03 = 198.14/x
  3. Step 3: Cross multiply
    274.69x = 412.03 × 198.14
  4. Step 4: Simplify right side
    274.69x = 81,639.62
  5. Step 5: Solve for x
    x = 81,639.62/274.69
  6. Step 6: Final answer
    x = 297.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.